In this work, we present an operational method based on the use of supersymmetry applied to quantum mechanics, shape invariance, and intertwining techniques to determine certain classes of solvable potentials. Our proposal uses an ansatz which matches the Witten superpotential, allowing us to identify, through a particular Ricatti relationship, the potentials that are solvable as well as to obtain straightforwardly the corresponding ground state eigenvalues, energy, and wave function. As a useful application of the proposed method, we obtain some examples of solvable quartic potentials as well as, with the aid of the standard and generalized Darboux transform, the partner isospectral potentials that are associated with the models under consideration. The method can be easily extended and used to find new solvable potentials which could be useful in the modeling of specific quantum interactions. (C) 2001 John Wiley & Sons, Inc. [References: 19]
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机译：在这项工作中，我们提出了一种基于将超对称性应用于量子力学，形状不变性和交织技术来确定某些类型可解电势的操作方法。我们的建议使用与Witten超势匹配的ansatz，使我们能够通过特定的Ricatti关系确定可解的势，并直接获得相应的基态本征值，能量和波动函数。作为所提出方法的有用应用，我们获得了可解四次势的一些示例，以及借助标准和广义Darboux变换，获得了与正在考虑的模型关联的伙伴等光谱势。该方法可以轻松扩展并用于寻找新的可解电势，这对特定量子相互作用的建模可能有用。 （C）2001 John Wiley＆Sons，Inc. [参考：19]
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